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22114211241122 = 27111312139106397
BaseRepresentation
bin1010000011100110111011…
…01101001001110010100010
32220022002122101220112210022
411001303131231021302202
510344304401034203442
6115011043422233442
74441461525040220
oct501633555116242
986262571815708
1022114211241122
1170566478027a0
122591a70725882
13c45490658450
14566495311b10
15285394a0b3d2
hex141cddb49ca2

22114211241122 has 64 divisors (see below), whose sum is σ = 44574434037504. Its totient is φ = 7946605405440.

The previous prime is 22114211241119. The next prime is 22114211241163.

22114211241122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22114211241091 and 22114211241100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124773 + ... + 6981624.

It is an arithmetic number, because the mean of its divisors is an integer number (696475531836).

Almost surely, 222114211241122 is an apocalyptic number.

22114211241122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22114211241122 is an abundant number, since it is smaller than the sum of its proper divisors (22460222796382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22114211241122 is a wasteful number, since it uses less digits than its factorization.

22114211241122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107643.

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 2211421 and 1241122, that added together give a palindrome (3452543).

The spelling of 22114211241122 in words is "twenty-two trillion, one hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 1213 2002 2426 8491 13343 15769 16982 26686 31538 93401 110383 173459 186802 220766 346918 1214213 2428426 9106397 18212794 63744779 100170367 118383161 127489558 200340734 236766322 701192569 828682127 1302214771 1402385138 1657364254 2604429542 9115503397 11046059561 18231006794 22092119122 77322416927 121506655171 143598774293 154644833854 243013310342 287197548586 850546586197 1005191420051 1579586517223 1701093172394 2010382840102 3159173034446 11057105620561 22114211241122